What is the Greatest Common Factor of 57024 and 57036?

Greatest common factor (GCF) of 57024 and 57036 is 12.

GCF(57024,57036) = 12

We will now calculate the prime factors of 57024 and 57036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57024 and 57036.

How to find the GCF of 57024 and 57036?

We will first find the prime factorization of 57024 and 57036. After we will calculate the factors of 57024 and 57036 and find the biggest common factor number .

Step-1: Prime Factorization of 57024

Prime factors of 57024 are 2, 3, 11. Prime factorization of 57024 in exponential form is:

57024 = 2⁶ × 3⁴ × 11¹

Step-2: Prime Factorization of 57036

Prime factors of 57036 are 2, 3, 7, 97. Prime factorization of 57036 in exponential form is:

57036 = 2² × 3¹ × 7² × 97¹

Step-3: Factors of 57024

List of positive integer factors of 57024 that divides 57024 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 64, 66, 72, 81, 88, 96, 99, 108, 132, 144, 162, 176, 192, 198, 216, 264, 288, 297, 324, 352, 396, 432, 528, 576, 594, 648, 704, 792, 864, 891, 1056, 1188, 1296, 1584, 1728, 1782, 2112, 2376, 2592, 3168, 3564, 4752, 5184, 6336, 7128, 9504, 14256, 19008, 28512

Step-4: Factors of 57036

List of positive integer factors of 57036 that divides 57024 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 97, 98, 147, 194, 196, 291, 294, 388, 582, 588, 679, 1164, 1358, 2037, 2716, 4074, 4753, 8148, 9506, 14259, 19012, 28518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57024 and 57036. The biggest common factor number is the GCF number.
So the greatest common factor 57024 and 57036 is 12.

Also check out the Least Common Multiple of 57024 and 57036